3783
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5488
- Proper Divisor Sum (Aliquot Sum)
- 1705
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2304
- Möbius Function
- -1
- Radical
- 3783
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 131
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Finite automata.at n=2A000282
- Powers of fourth root of 20 rounded to nearest integer.at n=11A018103
- Powers of fourth root of 20 rounded up.at n=11A018104
- Fibonacci sequence beginning 2, 15.at n=13A022117
- Convolution of the lower and upper Wythoff sequences (A000201 and A001950).at n=16A023664
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 40.at n=22A031538
- Numbers whose set of base-12 digits is {2,3}.at n=17A032812
- Numbers each of whose runs of digits in base 12 has length 2.at n=24A033010
- Numbers whose base-12 expansion has no run of digits with length < 2.at n=37A033025
- Number of partitions satisfying (cn(2,5) = cn(3,5) = 0).at n=48A036820
- Number of partitions satisfying cn(2,5) + cn(3,5) <= cn(1,5) and cn(2,5) + cn(3,5) <= cn(4,5).at n=36A039877
- Positive integers having more base-12 runs of even length than odd.at n=26A044838
- Number of partitions of n with equal number of parts congruent to each of 0, 1 and 2 (mod 3).at n=48A046765
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 2 (mod 3).at n=48A046777
- a(n) = 4*n^2 - 10*n + 7.at n=31A054554
- a(n) = p^2 + p + 1 where p runs through the primes.at n=17A060800
- Numbers that are sums of divisors of the odd squares; Intersection of A065764 and A065766, written in ascending order and duplicates removed.at n=27A065768
- Numbers that in base 2 need twelve 'Reverse and Add' steps to reach a palindrome.at n=23A066133
- Numbers k such that prime(k+2)-(k+2)*tau(k+2) = prime(k-2)-(k-2)*tau(k-2) where tau(k) = A000005(k) is the number of divisors of k.at n=11A067354
- Numbers k such that sigma(reverse(k)) = sigma(reverse(k-1)) + sigma(reverse(k-2)).at n=8A069970